论文信息 - Spectral stability of the Robin Laplacian

Spectral stability of the Robin Laplacian

We consider the Robin Laplacian in two bounded regions Ω1 and Ω2 of ℝN with Lipschitz boundaries and such that Ω2 ⊂ Ω1, and we obtain two-sided estimates for the eigenvalues λn,2 of the Robin Laplacian in Ω2 via the eigenvalues λn, 1 of the Robin Laplacian in Ω1. Our estimates depend on the measure of the set difference Ω\Ω2 and on suitably defined characteristics of vicinity of the boundaries ∂Ω1 and ∂Ω2, and of the functions defined on ∂Ω1 and on ∂Ω2 that enter the Robin boundary conditions.

V. Burenkov | V. I. Burenkov | M. Lanza de Cristoforis | M. Lanza de Cristoforis

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